Find the Center, Vertices, and Foci of the Ellipse Below $$x ^ { 2 } + 8 y ^ { 2 } = 80$$

Multiple Choice

Find the center, vertices, and foci of the ellipse below.
$$x ^ { 2 } + 8 y ^ { 2 } = 80$$

A) Center: $( 0,0 )$
Vertices: $( 4 \sqrt { 5 } , 0 ) , ( - 4 \sqrt { 5 } , 0 )$
Foci: $( \sqrt { 70 } , 0 ) , ( - \sqrt { 70 } , 0 )$

B) Center: $( 0,0 )$
Vertices: $( 0,10 ) , ( 0 , - 10 )$
Foci: $( 0,24 \sqrt { 11 } ) , ( 0 , - 24 \sqrt { 11 } )$

C) Center: $( 80,10 )$
Vertices: $( 160,10 ) , ( - 160,10 )$
Foci: $( 80 + 24 \sqrt { 11 } , 10 ) , ( 80 - 24 \sqrt { 11 } , 10 )$

D) Center: $( 80,10 )$
Vertices: $( 80,20 ) , ( 80 , - 20 )$
Foci: $( 80,10 + 24 \sqrt { 11 } ) , ( 80,10 - 24 \sqrt { 11 } )$

E) Center: $( 0,0 )$
Vertices: $( 80,0 ) , ( - 80,0 )$
Foci: $( 6336,0 ) , ( - 6336,0 )$